4287932661600 has 576 divisors, whose sum is σ = 18656280921600. Its totient is φ = 928514119680.

The previous prime is 4287932661569. The next prime is 4287932661601. The reversal of 4287932661600 is 61662397824.

4287932661600 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 9 + 3 + 26 + 6 + 1 + 600 = 666.

It is a super-2 number, since 2×4287932661600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287932661601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2126502 + ... + 3619098.

It is an arithmetic number, because the mean of its divisors is an integer number (32389376600).

Almost surely, 2^{4287932661600} is an apocalyptic number.

4287932661600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287932661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328140460800).

4287932661600 is an abundant number, since it is smaller than the sum of its proper divisors (14368348260000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4287932661600 is a wasteful number, since it uses less digits than its factorization.

4287932661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492652 (or 1492633 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4287932661600 in words is "four trillion, two hundred eighty-seven billion, nine hundred thirty-two million, six hundred sixty-one thousand, six hundred".